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vlada-n [284]
2 years ago
6

Helen purchased 3 copies of a book online at a 20% discount. She also paid $10 for shipping that was not discounted. How much wa

s the original price of one copy of the book if her total ended up being $40?
Mathematics
1 answer:
umka21 [38]2 years ago
3 0

Answer:

The original price of the book was $12.50

Step-by-step explanation:

3x - 0.2(3x) + 10 = 40
30x - 2(3x) + 100 = 400
   30x - 6x + 100 = 400
           24x + 100 = 400
                     24x = 300
                         x = 12.50

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Neko [114]

Answer:

Zero(0)

Step-by-step explanation:

From the given information, we are to determine the probability that both ships are hit given that the pirate shoots first.

There are two scenarios

Since the pirate is to shoot first

  1. If the pirate misses, the Captain's ship is not hit. Therefore there's no chance of both ships getting hit.
  2. If the pirate hits, we are told that if his ship has been hit, Captain Daniel will always miss. Therefore there is also no chance of both ships getting hit.

P(both ships to be hit given that pirate shoots first) =0

6 0
3 years ago
Mr. Design is covering rectangular pieces of plywood with fabric to create a wall hanging. Each piece has an area of 12 3/4 squa
ExtremeBDS [4]

6 inches 
6 1/14 inches  
Since area is defined as length multiplied by width, this is a simple matter of division. I suspect this problem is more a matter of handling fractions, so to make things easier, convert the fractions to improper fractions in order to do the math, then convert to proper fractions after you've gotten the result. Since the area of each rectangle is 12 3/4, multiply 12 by 4 and then add 3 to get 51/4 as the area. Doing the same for the values 2 1/8 and 2 1/10 gives sizes of 17/8 and 21/10 for the widths respectively. So 
 51/4 / 17/8 = 51/4 * 8/17 = 408/68 = 6/1 = 6 
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3 0
3 years ago
If x=z+8 where z varies inversely as y and z=2 when y=3 find relation between y and x?​
sattari [20]

Answer:

y = 6/(x - 8).

Step-by-step explanation:

z = k/y    where k is a constant

2 = k/3

k = 6.

So z = 6/y

and  x = 6/y + 8

Multiply through by y:

xy = 6 + 8y

xy - 8y = 6

y(x - 8) = 6

y = 6/(x - 8)

5 0
2 years ago
Please help to solve this ​
Lerok [7]

Step-by-step explanation:

I think it will help you.

The image above will help you

7 0
2 years ago
Simplify the following rational expression and state for what values they are undefined.
QveST [7]

Answer:

d-2  and d cannot = 8

Step-by-step explanation:

d^2 -10d+16

-----------------------

d-8

Factor the numerator

( d-8)(d-2)

-------------------

d-8

The undefined values occur when the denominator is equal to zero

d-8 = 0  

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This means d cannot equal 8

Now cancel like terms in the equation ( d-8)

This yields d-2

3 0
3 years ago
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